Francesco Siacci
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Francesco Siacci (20 April 1839 – 31 May 1907), an
Italian Italian(s) may refer to: * Anything of, from, or related to the people of Italy over the centuries ** Italians, a Romance ethnic group related to or simply a citizen of the Italian Republic or Italian Kingdom ** Italian language, a Romance languag ...
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...
, ballistician, and officer in the
Italian army The Italian Army ( []) is the Army, land force branch of the Italian Armed Forces. The army's history dates back to the Italian unification in the 1850s and 1860s. The army fought in colonial engagements in China and Italo-Turkish War, Libya. It ...
, was born in
Rome Rome (Italian language, Italian and , ) is the capital city and most populated (municipality) of Italy. It is also the administrative centre of the Lazio Regions of Italy, region and of the Metropolitan City of Rome. A special named with 2, ...
,
Italy Italy, officially the Italian Republic, is a country in Southern Europe, Southern and Western Europe, Western Europe. It consists of Italian Peninsula, a peninsula that extends into the Mediterranean Sea, with the Alps on its northern land b ...
. He was a professor of
mechanics Mechanics () is the area of physics concerned with the relationships between force, matter, and motion among Physical object, physical objects. Forces applied to objects may result in Displacement (vector), displacements, which are changes of ...
in the
University of Turin The University of Turin (Italian language, Italian: ''Università degli Studi di Torino'', UNITO) is a public university, public research university in the city of Turin, in the Piedmont (Italy), Piedmont region of Italy. It is one of the List ...
and
University of Naples The University of Naples Federico II (; , ) is a public university, public research university in Naples, Campania, Italy. Established in 1224 and named after its founder, Frederick II, Holy Roman Emperor, Frederick II, it is the oldest public, s ...
. He is best known for his contributions to the field of exterior ballistics.


Biography

Siacci graduated from the University of Rome in 1860 and received an honorary degree in
mathematics Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many ar ...
. In 1861, he moved to Turin and enlisted in the army amidst the period of
Italian unification The unification of Italy ( ), also known as the Risorgimento (; ), was the 19th century political and social movement that in 1861 ended in the annexation of various states of the Italian peninsula and its outlying isles to the Kingdom of ...
. He also became a professor of mechanics at the Military Academy. He remained there until war broke out in Italy in 1866. Siacci was briefly part of the campaign against the
Austria Austria, formally the Republic of Austria, is a landlocked country in Central Europe, lying in the Eastern Alps. It is a federation of nine Federal states of Austria, states, of which the capital Vienna is the List of largest cities in Aust ...
ns in a war in 1866, until he was sent back to Turin to teach ballistics at the Military Academy. In 1871, he began teaching mechanics in the
University of Turin The University of Turin (Italian language, Italian: ''Università degli Studi di Torino'', UNITO) is a public university, public research university in the city of Turin, in the Piedmont (Italy), Piedmont region of Italy. It is one of the List ...
. A year later, he was promoted to Professor of Ballistics at the School of Applied Artillery and Engineering in Turin and held that post until his retirement from the army as a major general in 1892. In 1875, he became a Professor of Higher Mechanics in the University of Turin. After two terms as a deputy in 1892, Siacci was appointed as a senator in Rome in 1893. Since Turin is far from Rome, he requested a transfer to the
University of Naples The University of Naples Federico II (; , ) is a public university, public research university in Naples, Campania, Italy. Established in 1224 and named after its founder, Frederick II, Holy Roman Emperor, Frederick II, it is the oldest public, s ...
to capably serve as senator and still teach. Consequently,
Vito Volterra Vito Volterra (, ; 3 May 1860 – 11 October 1940) was an Italian mathematician and physicist, known for his contributions to Mathematical and theoretical biology, mathematical biology and Integral equation, integral equations, being one of the ...
took over his vacated position in Turin, but Siacci retained an honorary professorship there. Siacci stayed to teach in Naples for the rest of his life. Siacci was a member of the most important national academies in Italy, including the
Accademia dei Lincei The (; literally the "Academy of the Lynx-Eyed"), anglicised as the Lincean Academy, is one of the oldest and most prestigious European scientific institutions, located at the Palazzo Corsini on the Via della Lungara in Rome, Italy. Founded in ...
(corresponding member in 1872, full member in 1890), the Accademia Nazionale delle Scienze detta dei XL, the Accademia delle Scienze in Turin, and the Accademia delle Scienze Fisiche e Matematiche in Naples. A street in Rome, the Via Francesco Siacci, is named after him.


Exterior ballistics

Siacci is well known for his contributions in the field of
ballistics Ballistics is the field of mechanics concerned with the launching, flight behaviour and impact effects of projectiles, especially weapon munitions such as bullets, unguided bombs, rockets and the like; the science or art of designing and acceler ...
, distinguishing himself with a famous treatise ''Balistica'', published in 1888 and translated to French in 1891. Of great importance is an approximation method he devised to calculate bullet trajectories of small departure angles. Known as Siacci's method, it was a major innovation in exterior ballistics and was widely used almost exclusively at the beginning of World War I. Several modifications of the method are still in use today, including those of H.P. Hitchcock and R.H. Kent, and James Ingalls. Siacci also studied theoretical mechanics ( Siacci's theorem,
rigid body dynamics In the physical science of dynamics, rigid-body dynamics studies the movement of systems of interconnected bodies under the action of external forces. The assumption that the bodies are '' rigid'' (i.e. they do not deform under the action ...
,
canonical transformation In Hamiltonian mechanics, a canonical transformation is a change of canonical coordinates that preserves the form of Hamilton's equations. This is sometimes known as ''form invariance''. Although Hamilton's equations are preserved, it need not ...
s, and
inverse problem An inverse problem in science is the process of calculating from a set of observations the causal factors that produced them: for example, calculating an image in X-ray computed tomography, sound source reconstruction, source reconstruction in ac ...
s) and mathematics ( theory of conic sections, Riccati differential equation, etc.).


Siacci's theorem

Siacci's theorem in dynamics is the resolution of the
acceleration In mechanics, acceleration is the Rate (mathematics), rate of change of the velocity of an object with respect to time. Acceleration is one of several components of kinematics, the study of motion. Accelerations are Euclidean vector, vector ...
vector of a particle into radial and tangential components, which are generally not perpendicular to one another. Siacci formulated this decomposition in two papers which were published in 1879, the first for planar motions, and the second for spatial motions. The theorem is useful in situations where
angular momentum Angular momentum (sometimes called moment of momentum or rotational momentum) is the rotational analog of Momentum, linear momentum. It is an important physical quantity because it is a Conservation law, conserved quantity – the total ang ...
is constant (for example, in
central force In classical mechanics, a central force on an object is a force that is directed towards or away from a point called center of force. \mathbf(\mathbf) = F( \mathbf ) where F is a force vector, ''F'' is a scalar valued force function (whose abso ...
s).


References


"Accademia della Scienze di Torino"


* J. Casey. Siacci's resolution of the acceleration vector for a space curve. Meccanica, Online First, 9 June 2010 OI 10.1007/s11012-010-9296-x * E. Herrmann. Exterior Ballistics 1935. Annapolis, MD: U.S. Naval Institute, 1935. * H.P. Hitchcock and R.H. Kent. Applications of Siacci's method to flat trajectories. Ballistics Laboratory Report No. 114 (1938)


External links


"Siacci's Method"
{{DEFAULTSORT:Siacci, Francesco 1839 births 1907 deaths Scientists from Rome 19th-century Italian mathematicians 20th-century Italian mathematicians Academic staff of the University of Turin